Spin properties of conduction electrons in the noble metals

Bibby, W. M.; Shoenberg, D.

doi:10.1016/0375-9601(77)90828-3

Cited by 8 publications

(8 citation statements)

References 4 publications

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“…It is well known that only orbits with an extremum area can be observed by such techniques as the de Haas-van Alphen effect. These techniques sometimes allow the measurement of the mean g factor over extremum orbits, and a lot of work has been done in noble metals (see Randles 1972, Bibby and Shoenberg 1977, Crabtree et al 1977. We know of no such measurements performed in aluminium, and have found it interesting to calculate the mean g value on some extremum orbits that have been studied by the de Haas-van Alphen effect.…”

Section: Agmentioning

confidence: 99%

The g factor of conduction electrons in aluminium: calculation and application to spin resonance

Beuneu

1980

J. Phys. F: Met. Phys.

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Section: Agmentioning

confidence: 99%

The g factor of conduction electrons in aluminium: calculation and application to spin resonance

Beuneu

1980

J. Phys. F: Met. Phys.

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“…To demonstrate the power of this new approach applications to the layered systems Fe n Pd n and Fe n /Au(001) are presented. The results for the magnetic anisotropy energy are compared to results obtained using the conventional hybrid approach.The Breit-interaction [8,9] is a correction to the Coulomb interaction between moving electrons that may be split into its magnetic and retardation part: H (1,2) BI = − e 2 r 12 α 1 · α 2 + e 2 2r 12 α 1 · α 2 − ( α 1 · e 12 ) ( α 2 · e 12 ) .(1)Within this relativistic formulation, the standard Dirac matrices α i are connected to the current density operator…”

mentioning

confidence: 99%

Ab-initio description of the magnetic shape anisotropy due to the Breit interaction

Bornemann

Minář

Braun

et al. 2012

Solid State Communications

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A quantum-mechanical description of the magnetic shape anisotropy, that is usually ascribed to the classical magnetic dipole-dipole interaction, has been developed. This is achieved by including the Breit-interaction, that can be seen as an electronic current-current interaction in addition to the conventional Coulomb interaction, within fully relativistic band structure calculations. The major sources of the magnetic anisotropy, spin-orbit coupling and the Breit-interaction, are treated coherently this way. This seems to be especially important for layered systems for which often both sources contribute with opposite sign to the magnetic anisotropy energy. Applications to layered transition metal systems are presented to demonstrate the implications of this new approach in treating the magnetic shape anisotropy.PACS numbers: 31.15. 71.15.Rf, 75.30.Gw, Magnetic anisotropy is among the most important properties of magnetic materials in particular concerning their application in devices. When discussing the magnetic anisotropy energy of a material, denoting the difference in energy for two orientations of the magnetisation, an incoherent approach is used so far [1,2]. On the one hand side, the dependency of the electronic structure and the associated total energy on the orientation of the magnetisation, that is induced by spin-orbit coupling (SOC), is accounted for by corresponding relativistic band structure calculations. On the other hand, the additional shape anisotropy is ascribed to the anisotropy of the magnetic dipole-dipole coupling, that is treated in a classical way. This hybrid approach is used in particular when dealing with layered transition metal systems. The pioneering and successful theoretical work on magnetic surface films by Gay and Richter [3] was followed later on by many more investigations that benefited from the extension of standard band structure schemes to account simultaneously for the presence of spin-orbit coupling and spin-polarisation, i.e. magnetisation, in a numerically reliable way. Especially interesting in this context are investigations on systems showing a competition of the SOC and shape induced contributions to the magnetic anisotropy energy. This situation is frequently encountered for magnetic multi-layer or surface layer systems for which a flip of the magnetic easy axis from outof-plane to in-plane may be observed when the thickness of the magnetic layer is increased starting from a single mono-layer. In fact corresponding experimental findings could be reproduced by calculations based on the above mentioned hybrid scheme in the case of magnetic multilayers [4] as well as surface layer systems [5].In spite of the successful applications of this hybrid scheme in dealing with the magnetic anisotropy, one has to keep in mind that there is no real justification for its use. Furthermore, as there have been no coherent quantum mechanical investigations performed so far, there is no experience on the range of its applicability. It seems that the first steps towards a coheren...

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“…10 Thus G can be obtained from the intercept if F and C are known. There is no difficulty about F, which is known to high accuracy as a function of orientation for all three metals, but information on C, which can be computed from a detailed specification of the FS, is sparse; the published information 7.8'az for Au shows major inconsistencies, while that ~3 for Cu and Ag is not presented in a sufficiently quantitative way to be useful.…”

Section: The Aa Methods and The Complication Of MImentioning

confidence: 99%

“…A small alternating field h0 cos tot is superimposed on the steady (or slowly varying) field H and the amplitude V of the emf induced in a pick up coil surrounding the sample is measured. If detection is at the same frequency as that of the modulation, the relation between y (the value of 47rdM/dHe) and V (in microvolts) is V = -~-~rltohovy (10) where v is the sample volume in mm 3, r/is the coupling constant between sample and pickup coil in G/A, i.e., 77 is the flux through the coil per unit magnetic moment of sample, and to is the angular frequency in sec -1. The value of r/was determined by Knecht's method, 4 in which it is recognized that provided the sample is small enough in relation to the pickup coil, ~7 is the same as the magnetic field at the position of the sample per unit current in the pickup coil.…”

Section: Experimental Techniquesmentioning

confidence: 99%

“…To ensure that this was so, the phase criterion suggested by Knecht 4 (see also Ref. 15) was used; this is that if (10) is to be accurate to 1%, the phase of the output signal should be within 8 ~ of quadrature with the phase of the modulation signal. Typically, frequencies in the range 30-80 Hz proved suitable for the samples and fields used.…”

Section: Experimental Techniquesmentioning

confidence: 99%

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Spin properties of conduction electrons in the noble metals

Bibby

Shoenberg

1979

J Low Temp Phys

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Values of the spin-splitting factor g can in principle be derived from the observed absolute amplitudes of the de Haas-van Alphen oscillations, provided the oscillations are not dominated by magnetic interaction, and it is shown that this can be achieved for the bellies of the noble metals by working at sufficiently high temperatures (typically 2-3 K atfields up to 8 T). Oscillations were observed by the field modulation technique and g values obtained forCu, Au, and Ag over a range of orientations. The results are compared with previous ones for Cu and Au and it is also shown that the general trend from one metal to the other is roughly in accord with the predictions of many-body theory.

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Spin properties of conduction electrons in the noble metals

Cited by 8 publications

References 4 publications

The g factor of conduction electrons in aluminium: calculation and application to spin resonance

The g factor of conduction electrons in aluminium: calculation and application to spin resonance

Ab-initio description of the magnetic shape anisotropy due to the Breit interaction

Spin properties of conduction electrons in the noble metals

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